When are Zariski chambers numerically determined?

Abstract

The big cone of every smooth projective surface $X$ admits the natural decomposition into Zariski chambers. The purpose of this note is to give a simple criterion for the interiors of all Zariski chambers on $X$ to be numerically determined Weyl chambers. Such a criterion generalizes the results of Bauer-Funke on K3 surfaces to arbitrary smooth projective surfaces. In the last section, we study the relation between decompositions of the big cone and elliptic fibrations on Enriques surfaces.

7 pages

References in corpus (1)

• On Enriques surfaces with four cusps

Cited by in corpus (2)

• Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds
• Numerical and enumerative results on Okounkov bodies